Least Common Multiple of 4772 and 4780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4772 and 4780 the smallest integer that is 5702540 that is divisible by both numbers.

Least Common Multiple (LCM) of 4772 and 4780 is 5702540.

LCM(4772,4780) = 5702540

LCM of 4772 and 4780

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4772 and 4780

LCM of 4772 and 4780 is 5702540

Least common multiple can be found by multiplying the highest exponent prime factors of 4772 and 4780. First we will calculate the prime factors of 4772 and 4780.

Prime Factorization of 4772


2 4772
2 2386
1193 1193
1

Prime factors of 4772 are 2,1193. Prime factorization of 4772 in exponential form is:

4772 = 22×11931

Prime Factorization of 4780


2 4780
2 2390
5 1195
239 239
1

Prime factors of 4780 are 2, 5,239. Prime factorization of 4780 in exponential form is:

4780 = 22×51×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 4772 and 4780.

LCM(4772,4780) = 22×51×2391×11931
LCM(4772,4780) = 5702540

Factors of 4772

List of positive integer factors of 4772 that divides 4772 without a remainder.

1, 2, 4, 1193, 2386, 4772

Factors of 4780

List of positive integer factors of 4780 that divides 4780 without a remainder.

1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780

Least Common Multiple of 4772 and 4780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4772 and 4780, than apply into the LCM equation.

GCF(4772,4780) = 4
LCM(4772,4780) = ( 4772 × 4780) / 4
LCM(4772,4780) = 22810160 / 4
LCM(4772,4780) = 5702540

Properties of LCM 4772 and 4780

(i) The LCM of 4780 and 4772 is associative

LCM of 4772 and 4780 = LCM of 4780 and 4772

Related Least Common Multiples of 4772

Related Least Common Multiples of 4780

Frequently Asked Questions on LCM of 4772 and 4780

1. What is the LCM of 4772 and 4780?

Answer: LCM of 4772 and 4780 is 5702540.

2. What are the Factors of 4772?

Answer: Factors of 4772 are 1, 2, 4, 1193, 2386, 4772. There are 6 integers that are factors of 4772. The greatest factor of 4772 is 4772.

3. What are the Factors of 4780?

Answer: Factors of 4780 are 1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780. There are 12 integers that are factors of 4780. The greatest factor of 4780 is 4780.

4. How to Find the LCM of 4772 and 4780?

Answer:

Least Common Multiple of 4772 and 4780 = 5702540

Step 1: Find the prime factorization of 4772

4772 = 2 x 2 x 1193

Step 2: Find the prime factorization of 4780

4780 = 2 x 2 x 5 x 239

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 5702540 = 2 x 2 x 5 x 239 x 1193

Step 4: Therefore, the least common multiple of 4772 and 4780 is 5702540.